Which statement describes the properties of triangles ABC and A″B″C″ after the transformations?

Question

Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A″B″C″ after the transformations?

1.  ∠C and ∠C″ are congruent after both the translation and the dilation. 
2. ∠C and ∠C″ are congruent after the dilation, but not after the translation. 
3.  and  are congruent after both the translation and the dilation.
4.   and  are congruent after the dilation, but not after the translation.

Answer 1

If a transformation of a figure is a reflection,rotation or a translation it is congruent to the pre image. Dilation doesn't affect the angle measurement so <C and <C' are congruent after both the translation and dilation.